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Finding the Fourth Proportional to 8,008.32, 12,012.72 and 2,743.20

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Solution

The fourth proportional to 8,008.32, 12,012.72 and 2,743.20 is: 4,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,008.32 : 12,012.72 = 2,743.20 : x
  2. Step 2: Convert to fraction form
    8,008.32/12,012.72 = 2,743.20/x
  3. Step 3: Cross multiply
    8,008.32x = 12,012.72 × 2,743.20
  4. Step 4: Simplify right side
    8,008.32x = 32,953,293.50
  5. Step 5: Solve for x
    x = 32,953,293.50/8,008.32
  6. Step 6: Final answer
    x = 4,114.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.